New classes of bi-axially symmetric solutions to four-dimensional Vasiliev higher spin gravity

Per Sundell, Yihao Yin

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We present new infinite-dimensional spaces of bi-axially symmetric asymptotically anti-de Sitter solutions to four-dimensional Vasiliev higher spin gravity, obtained by modifications of the Ansatz used in arXiv:1107.1217, which gave rise to a Type-D solution space. The current Ansatz is based on internal semigroup algebras (without identity) generated by exponentials formed out of the bi-axial symmetry generators. After having switched on the vacuum gauge function, the resulting generalized Weyl tensor is given by a sum of generalized Petrov type-D tensors that are Kerr-like or 2-brane-like in the asymptotic AdS4 region, and the twistor space connection is smooth in twistor space over finite regions of spacetime. We provide evidence for that the linearized twistor space connection can be brought to Vasiliev gauge.

Original languageEnglish
Article number43
JournalJournal of High Energy Physics
Volume2017
Issue number1
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Higher Spin Gravity
  • Higher Spin Symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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